The drawing shows a positive point charge + q 1 , a second point charge q 2 that

Question

The drawing shows a positive point charge +q1, a second point charge q2 that may be positive or negative, and a spot labeled P, all on the same straight line. The distance d between the two charges is the same as the distance between q1 and the spot P. With q2 present, the magnitude of the net electric field at P is twice what it is when q1 is present alone. Given that q1 = +0.20 ?C, determine the magnitude |q2| when q2 is

The drawing shows a positive point charge +q1, a second point charge q2 that may be positive or negative, and a spot labeled P, all on the same straight line. The distance d between the two charges is the same as the distance between q1 and the spot P. With q2 present, the magnitude of the net electric field at P is twice what it is when q1 is present alone. Given that q1 = +0.20 ?C, determine the magnitude |q2| when q2 is

Explanation / Answer

suppose q1 and q2 are separated by distance d.

then also P and q1 are separated by d.

then electric field at P due to q1= k*q1/d^2 and due to q2= k*q2/(2*d)^2

given field due to q1 + field due to q2= 2*(field due to q1)

=> removing common terms on both sides => q1 +q2/4 = 2*q1

=> q1=q2/4 => q2=4*q1 => q2=4*(+.2) uC= .8uC

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